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Finding the Third Proportional to 200,945.81 and 429,526.13

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Solution

The third proportional to 200,945.81 and 429,526.13 is: 918,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,945.81 : 429,526.13 = 429,526.13 : x
  2. Step 2: Convert to fraction form
    200,945.81/429,526.13 = 429,526.13/x
  3. Step 3: Cross multiply
    200,945.81x = 429,526.13 × 429,526.13
  4. Step 4: Simplify right side
    200,945.81x = 184,492,692,057.52
  5. Step 5: Solve for x
    x = 184,492,692,057.52/200,945.81
  6. Step 6: Final answer
    x = 918,121.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.